1. GEOMETRY AND ART
By: Kara Martin

2. Definitions
Geometry – the mathematics of the properties, measurement, and relationships of points, lines, angles, surfaces, and solids
Art – creative or imaginative activity, especially the expressive arrangement of elements within a medium

3. Why Should Math and Art Be Combined?
It’s good for your brain
It encourages mathematics
It shows different types of art
It reveals things about nature

4. How Can Geometry and Art Be Combined?
Natural Art
Line Designs
Daisy Designs
Op Art
Mandalas
Knot Designs
Islamic Art
Perspective

5. Natural Art Geometric art is found in many different places in nature.
One of the most common geometric characteristics in nature and in art is symmetry.
The different types of symmetry include: bilateral, reflectional, and rotational symmetries.

6. Line Designs
There are many types of line designs. This is just one example that I created on Sketchpad.
All line designs can be made using only a straightedge.

7. Daisy Designs
This design is one of the many daisy designs that can be created.
A daisy design is anything that is created using only circles.

8. Optical Art
This is an example of op art because of the optical illusions and effects.
The dark and light sections show a change in surface, direction, and dimension.

9. Mandalas A mandala is a circular design based around the center.
In order to draw a mandala, one must create a design at the center of a circle and continue drawing that design outward.

10. Knot Designs
Knot designs are geometric creations that “weave” in and out or “link” together.
These designs are also known as small mazes or labyrinth designs.
Knots have been used in all cultures of the world including Egypt, China, Peru, Rome, and Greece.

11. Islamic Art
Islamic art combines mandalas and knot designs; this is just one example.
Islamic artists knew geometry thanks to Euclid, Pythagoras, and others.

12. Perspective
Perspective is the technique of portraying solid objects and spatial relationships on a flat surface so that they appear true-to-life.
Artists use terms such as horizon line and vanishing point to describe perspective.
This technique is also divided into one-point and two-point perspective.

13. Quilt Making Quilts are another type of geometric art.
This type of design is full of geometry. It uses measurement, symmetry, reflections, and rotations.
Geometric planning and organization is also required.